875=x2

Solution for 875=x2 equation:

875=x2

We move all terms to the left:

875-(x2)=0

We add all the numbers together, and all the variables

-1x^2+875=0

a = -1; b = 0; c = +875;
Δ = b2-4ac
Δ = 02-4·(-1)·875
Δ = 3500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3500}=\sqrt{100*35}=\sqrt{100}*\sqrt{35}=10\sqrt{35}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{35}}{2*-1}=\frac{0-10\sqrt{35}}{-2}
=-\frac{10\sqrt{35}}{-2}
=-\frac{5\sqrt{35}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{35}}{2*-1}=\frac{0+10\sqrt{35}}{-2}
=\frac{10\sqrt{35}}{-2}
=\frac{5\sqrt{35}}{-1}
$